In an examination 35% of students passed in Nepali only and 25% passed in
Mathematics only and 20% of students were failed in both subjects.
i.
ii.
What percent of students who passed in both subject?
What percent of students who passed in Mathematics?
iii. Represent the above information in a Venn-diagram.

Question

04-05-2024
Mathematics

Answered

In an examination 35% of students passed in Nepali only and 25% passed in
Mathematics only and 20% of students were failed in both subjects.
i.
ii.
What percent of students who passed in both subject?
What percent of students who passed in Mathematics?
iii. Represent the above information in a Venn-diagram.

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-05-04T03:10:57-04:00

Certainly! Let's break down the information given in the question: i. To find the percentage of students who passed in both subjects, we need to first subtract the percentage of students who passed in Nepali only (35%) and Mathematics only (25%) from 100% to account for those who passed in either one or both subjects. Then, we subtract the percentage of students who failed in both subjects (20%) to get the percentage of students who passed in both subjects. ii. To find the percentage of students who passed in Mathematics only, we can directly use the given information which states that 25% of students passed in Mathematics only. iii. Representing the information in a Venn diagram: - Let's create two circles, one representing Nepali and the other representing Mathematics. - In the Nepali circle, mark 35% as the percentage of students who passed in Nepali only. - In the Mathematics circle, mark 25% as the percentage of students who passed in Mathematics only. - The intersection of the two circles represents the students who passed in both subjects. - Outside the circles, mark 20% as the percentage of students who failed in both subjects. By following these steps, you should be able to determine the percentage of students who passed in both subjects, the percentage of students who passed in Mathematics only, and create a Venn diagram to visually represent the given information.